The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory.
- ISBN13 9783319808673
- Publish Date 30 May 2018 (first published 21 June 2016)
- Publish Status Active
- Publish Country CH
- Imprint Springer International Publishing AG
- Edition Softcover reprint of the original 1st ed. 2016
- Format Paperback
- Pages 473
- Language English